What is the Least Common Multiple of 25430 and 25450?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 25430 and 25450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25430 and 25450, than apply into the LCM equation.

GCF(25430,25450) = 10
LCM(25430,25450) = ( 25430 × 25450) / 10
LCM(25430,25450) = 647193500 / 10
LCM(25430,25450) = 64719350

Least Common Multiple (LCM) of 25430 and 25450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25430 and 25450. First we will calculate the prime factors of 25430 and 25450.

Prime Factorization of 25430

Prime Factorization of 25450

Now multiplying the highest exponent prime factors to calculate the LCM of 25430 and 25450.

LCM(25430,25450) = 2¹ × 5² × 2543¹ × 509¹
LCM(25430,25450) = 64719350